School Segregation Index Builds
Minnesota School District-Level Indices
Exposure Index (same as Interaction Index?)
Interaction Index
Interaction Index is a measure of…
\[Interaction = \sum_{i=1}^n \left( \frac{B_i}{B} \right) \left( \frac{W_i}{T_i} \right)\]
Where:
- \(B_i\) is the number of students of a particular racial group in a school \(i\).
- \(B\) is the total number of students of the same racial group in the entire district.
- \(W_i\) is the number of White students in school \(i\).
- \(T_i\) is the total student enrollment of the school district \(i\).
- \(n\) is the number of schools in the district.
Isolation Index
Isolation index is a measure of…
\[Isolation = \sum_{i=1}^{n} \left(\frac{B_i}{B} \right) \left(\frac{B{_i}}{T_i} \right)\] Where:
- \(B_i\) is the number of students of a particular racial group in a school \(i\).
- \(B\) is the total number of students of the same racial group in the entire district.
- \(T_i\) is the total student enrollment of the district \(i\).
- \(n\) is the number of schools in the district.
Normalized Exposure Index
Dissimilarity Index
The Dissimilarity index is a measure of…
Dissimilarity index was calculated following Wang et al.’s, methods found here.
\[Dissimilarity = \frac{1}{2} \sum_{i=1}^{n} \left|\frac{b_i}{B} - \frac{w{_i}}{W} \right|\] Where:
- \(b_i\) is the number of students of a particular racial group in school \(i\).
- \(B\) is the total number of students of the same racial group enrolled in the district.
- \(w_i\) is the number of white students in school \(i\).
- \(W\) is the total number of white students enrolled in the district.
- \(n\) is the number of schools in the district.
Information Theory Index Plot
Difference in Exposure to Free Lunch
CBSA-Level Segregation Indices
Exposure Index
Isolation Index
Isolation index is a measure of…
\[Isolation = \sum_{i=1}^{n} \left(\frac{B_i}{B} \right) \left(\frac{B{_i}}{T_i} \right)\] Where:
- \(B_i\) is the number of students of a particular racial group in a school \(i\).
- \(B\) is the total number of students of the same racial group in the entire district.
- \(T_i\) is the total student enrollment of the district \(i\).
- \(n\) is the number of schools in the district.
Normalized Exposure Index
Dissimilarity Index
The Dissimilarity index is a measure of…
Dissimilarity index was calculated following Wang et al.’s, methods found here.
\[Dissimilarity = \frac{1}{2} \sum_{i=1}^{n} \left|\frac{b_i}{B} - \frac{w{_i}}{W} \right|\] Where:
- \(b_i\) is the number of students of a particular racial group in school \(i\).
- \(B\) is the total number of students of the same racial group enrolled in the district.
- \(w_i\) is the number of white students in school \(i\).
- \(W\) is the total number of white students enrolled in the district.
- \(n\) is the number of schools in the district.
Information Theory Index
Difference in Exposure to Free Lunch
